Suppose your mother can clean your kitchen in 30 minutes. You can clean the kitchen in 45 minutes. How long will it take you and your mother to clean the kitchen working together? (write equation and show work to solve)

Answer:

$856.91  after 7 years

Step-by-step explanation:

Initial investment, P = 500

Interest rate, i = 8% (compounded once a year, i.e. annually)

Number of years, t = 7

Substitute in compound interest formula

Future value,

A = P (1 + 0.08/1) ^(1*7)

= 500 (1.08)^7

= 856.91 (to the nearest cent)

Answer:

D

Step-by-step explanation:

I took Edgy 2021 test

Answer:

D

Step-by-step explanation:

Answer:

x² + 7x + 10 = 0

Subtract 10 from both sides

x² + 7x = -10

Use half the x coefficent (7/2) as the complete the square term

(x + 7/2)² = -10 + (7/2)²

   note: the number added to "complete the square" is (7/2)² = 49/4

(x + 7/2)² = -10 + 49/4

(x + 7/2)² = 9/4

Take the square root of both sides

x + 7/2 = ±3/2

Subtract 7/2 from both sides

x = -7/2 ± 3/2

x = {-5, -2}

The coach can select 3 people to swim in the relay in 120 ways.

'In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter.'

According to the given problem,

Number of players = 10

Number of people to be selected = 3

We know,

[tex]^{n}C_{r}[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex] where, n = Total number of players

                                 r = Number of players to be selected

Number of ways to select 3 people out of 10 = [tex]^{10} C_{3}[/tex]

                                                                           = [tex]\frac{10!}{3!*7!}[/tex]

                                                                            = 120 ways

Hence, we can conclude, the coach can select 3 people out of 10 in 120 ways.

Learn more about combination here: https://brainly.com/question/13387529

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Answer: Hi the Range is 4

Step-by-step explanation: The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator. Using the same example:

18, 16, 19, 15, 17

19,18,17,16,15

19-15= 4

Answer:1130.97

Step-by-step explanation:

V=πr2h=π·62·10≈1130.97336

Answer:

scale factor = 2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, fig. B to fig. A

Consider the horizontal lengths, then

scale factor = [tex]\frac{8}{4}[/tex] = 2

Answer:

Total distance cover by car = 253.45 km (Approx.)

Step-by-step explanation:

Given:

Speed of car = 45 km/h for 3¾ hour

Distance cover in next 2 hour = 84.7 km

Find:

Total distance cover by car

Computation:

Distance = Speed x time

Distance cover by car = 45 x 3¾

Distance cover by car = 168.75 km

Total distance cover by car = Distance cover by car + Distance cover in next 2 hour

Total distance cover by car = 168.75 + 84.7

Total distance cover by car = 253.45 km (Approx.)

Answer:

It would be 9π

Step-by-step explanation:

(x-1)²π

(x-1)(2x-4)

Answer:

Perimeter = 6s + 9 units

Step-by-step explanation:

Perimeter = 2s + 4 + 4s + 2 + 3

                = 2s + 4s + 4 +  2 + 3

                = 6s + 9 units

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Answer:

x + y = 60

Step-by-step explanation:

[tex]2x + 2y + 60 = 180 \\ 2x + 2y = 180 - 60 \\ 2x + 2y = 120 \\ \frac{2x + 2y}{2} = \frac{120}{2} \\ x + y = 60 \\ [/tex]

Answer:

yes this is true helpful answer

Answer:

Scientific Notation: 3754 × [tex]10^{-4}[/tex]

Step-by-step explanation:

Have a great summer :)

Answer:

3.754 • 10^-4

Step-by-step explanation:

Put decimal point back until in front of a whole number( not zero ;D). So it would be 3.754 and since it was going left or backwards the exponent would be negative. Therefore, giving our answer!

Hope this helped, good luck! :)

Answer:

288 pi yds^3

Step-by-step explanation:

First find the volume of the cylinder

V = pi r^2 h = pi (6^2) * 24 = pi (36)*24 =864 pi

Then find the volume of one sphere

V = 4/3 pi r^3 = 4/3 pi (6)^3 = /43 pi (216) =288 pi

There are 2 sphere so multiply by 2

288 pi *2 =576 pi

Subtract the spheres from the cylinder

864 pi - 576 pi =288 pi

Answer:

with?

Step-by-step explanation:

Answer:

f(0) = g(0)

Step-by-step explanation:

The functions intersect at x =0, which means they have the same y value at x=0

f(0) = g(0)

Answers:

It looks like you have the correct order. To get those answers above, we simply multiply the original length by the scale factor 6.

Example: 7*6 = 42

Answer:

3570

Step-by-step explanation:

the current monthly rent is 4200.

now, decreasing it by 15% means to reduce it, to subtract 15% from it.

4200 = 100%

42 = 1%

15% = 42 × 15 = 630

so, the new rent is 4200 - 630 = 3570

Pen : $3

Pencil : $0.50

Answer:

(a) 3

(b) 3+5÷2 =4

Step-by-step explanation:

(a) you look at which number appears the most on the data in this case it's 3 it appeares three times in the data compared to other numbers.

(b) arrange the data in ascending order divide the data equally to find the number in the middle if the are two numbers you simply add them and divide by 2 to get your median.

Answer:

1/6

Step-by-step explanation:

A dies has six sides

1,2,3,4,5,6

There is 1 three

P(3) = number of threes/ total numbers

      = 1 / 6

Answer:

Step-by-step explanation:

sin A = [tex]\frac{opposite side}{Hypotenuse}[/tex]

Sin 29 = [tex]\frac{y}{500}[/tex]

0.4848 * 500 = y

y = 242.4 ft

Answer:

Y=242.4

Step-by-step explanation:

due to the association property the angle at the bottom left is 29 degrees

since sine property is oposite over hypothesis we get

sine(29)=y/500

500sin(29)=y

Y=242.4

Answer: conjecture

Step-by-step explanation:

A conjecture is a statement or an opinion based on logical reasoning or trivial facts that are always true. It does not require any proof.

Thus, A conjecture is a statement that you conclude to be true based on logical reasoning.

Note:

Answer:

Option (1)

Step-by-step explanation:

Area of the polygon = Area of CDE + Area of EFG + Area of ABCF

Area of triangle CDE = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                   = [tex]\frac{1}{2}(3)(2)[/tex]

                                   = 3 units²

Area of ΔCDE = [tex]\frac{1}{2}(5)(1)[/tex]

                       = 2.5 units²

Area of trapezoid ABCF = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

                                        = [tex]\frac{1}{2}(8+11)(4)[/tex]

                                         = 38 units²

Area of the given polygon = 3 + 2.5 + 38

                                            = 43.5 units²

Therefore, Option (1) will be the correct option.

Answer:

true

Step-by-step explanation:

Answer:

False. if it was perpendicular than the segments would be equal

Step-by-step explanation:

Answer:

this two graph is not same because they have different slopes for this they are not same